Pith Number

pith:TOWWTGX7

pith:2023:TOWWTGX7AHBYSEOXELYE7DAOFC

not attested not anchored not stored refs pending

Relational persistent homology for multispecies data with application to the tumor microenvironment

Bernadette J. Stolz, Heather A. Harrington, Helen M. Byrne, Iris H.R. Yoon, Jagdeep Dhesi, Joshua A. Bull

arxiv:2308.06205 v2 · 2023-08-11 · math.AT · q-bio.CB · q-bio.QM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TOWWTGX7AHBYSEOXELYE7DAOFC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Short, new proofs of Dowker duality

Receipt and verification

First computed	2026-07-05T06:50:02.658935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bad699aff01c38911d722f04f8c0e28830bbe2a29c8eee441040b23a0242969

Aliases

arxiv: 2308.06205 · arxiv_version: 2308.06205v2 · doi: 10.48550/arxiv.2308.06205 · pith_short_12: TOWWTGX7AHBY · pith_short_16: TOWWTGX7AHBYSEOX · pith_short_8: TOWWTGX7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/TOWWTGX7AHBYSEOXELYE7DAOFC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9bad699aff01c38911d722f04f8c0e28830bbe2a29c8eee441040b23a0242969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8038f8db40625133c106fc95ae83be84ac2a2f279ee855d560f11b515d965f91",
    "cross_cats_sorted": [
      "q-bio.CB",
      "q-bio.QM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-08-11T16:09:21Z",
    "title_canon_sha256": "f7835a74fef6e0c79a24b5c29407e849834aa436cd35d0fce22dfe4a8b98b19e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.06205",
    "kind": "arxiv",
    "version": 2
  }
}